An object is moving with an initial velocity of 5.5 m/s. It is then subject to an acceleration of 2.5 m/s² for 11 s. How far will it have traveled during the time of its acceleration? OML HELP

(a) The budget constraint can be written as: C = wL + V, where C is consumption, w is the real wage, L is leisure, and V is non-labor market income.

(b) With ẞ = 1/2, V = 100, and w = 200, John's optimal supply of labor cannot be determined without information about his preferences for leisure and consumption. The utility function only represents his preferences, but we need additional information to determine the specific amount of labor he would choose to supply.

(c) John's total income is the sum of his labor income and non-labor market income: Total income = Labor income + Non-labor income = wL + V. Without knowing the specific value of L, we cannot calculate the total income.

(d) Similarly, without knowing John's preferences for leisure and consumption, we cannot determine the specific level of consumption he would choose.

(e) In the case where John is subject to a 10% income tax on labor income only, his new optimal supply of labor would depend on the tax rate's impact on his preferences and the trade-off between leisure and consumption. Without further information on his preferences and the specific tax structure, we cannot determine the new optimal supply of labor.

Additional information about John's preferences for leisure and consumption, as well as the specific tax structure, is necessary to calculate his optimal labor supply, total income, consumption, and the impact of the income tax on his labor supply.

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If Robin moves the wheelbarrow twice as fast, the power  developed is 696 J/s.

If Robin moves the wheelbarrow twice as fast, the power  developed will be determined as follows;

Power = Energy / time

when moved twice as fast, new power developed  is given as;

new power = Energy / time/2

new power developed = ( Fd ) / ( t/2)

where;

new power developed = ( 145 N x 60 m ) / ( 25 s / 2 )

new power developed = 696 J/s

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Controlling the water height in a toilet tank, stopping a clothes dryer when the clothes are dry, actuation of an ice maker when the supply of cubes is low are closed loops. actuation of street lights at 6 p.m. is a open loop. Option a, c and d are closed loops. Option b is a open loop.

a. is an example of closed-loop control. This is because there is a feedback mechanism in place that continuously monitors the water level and adjusts the valve to maintain a constant level.

b. is an example of open-loop control. This is because the lights are turned on at a fixed time, regardless of the actual lighting conditions.

c. is an example of closed-loop control.

d.  is an example of closed-loop control.

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The density (ρh) of hot air inside the balloon, assuming it is uniform throughout, can be expressed in terms of Th, Tc  and ρc (density of surrounding air) using the ideal gas law as follows: ρh = (ρc * Tc) / Th

The ideal gas law states that for a given amount of gas, the product of its pressure (P) and volume (V) is proportional to the product of its temperature (T) and the number of moles (n). Mathematically, it can be expressed as:

PV = nRT

Where R is the ideal gas constant.

Since we are considering a balloon filled with hot air, the pressure and volume inside the balloon remain constant. Therefore, we can modify the ideal gas law to relate the densities of hot air (ρh) and surrounding air (ρc) to their respective temperatures:

(ρh * V) / Th = (ρc * V) / Tc

Here, V represents the volume of the balloon, which cancels out on both sides of the equation.

Simplifying the equation:

ρh / Th = ρc / Tc

Rearranging the equation to solve for ρh:

ρh = (ρc * Tc) / Th

The density (ρh) of hot air inside the balloon, assuming it is uniform throughout, can be calculated using the ideal gas law. The expression for ρh in terms of Th (temperature of hot air), Tc (temperature of surrounding air), and ρc (density of surrounding air) is given as: ρh = (ρc * Tc) / Th.

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A perfectly inelastic demand curve graphs as a line parallel to the vertical axis.

A perfectly inelastic demand curve is a type of demand curve where the quantity demanded remains constant regardless of changes in price. In other words, the demand is completely unresponsive to price changes. When graphed, a perfectly inelastic demand curve appears as a vertical line parallel to the vertical axis.

This means that no matter how much the price of a product or service changes, the quantity demanded by consumers remains the same. The price elasticity of demand coefficient for a perfectly inelastic demand curve is zero because there is no change in quantity demanded relative to price changes.

A perfectly inelastic demand curve is often seen in the case of essential goods or products with no close substitutes, where consumers are willing to pay any price to obtain the item. Examples may include life-saving medications or specific medical treatments.

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Answer:

G.P.E  = 414050 Joules or 414.05 Kilojoules

Explanation:

Given the following data;

Mass = 65 kg

Height = 650 m

We know that acceleration due to gravity is equal to 9.8m/s²

To find the gravitational potential energy;

Gravitational potential energy (GPE) is an energy possessed by an object or body due to its position above the earth.

Mathematically, gravitational potential energy is given by the formula;

\( G.P.E = mgh\)

Where;

Substituting into the equation, we have;

\( G.P.E = 65 * 9.8 * 650 \)

\( G.P.E = 414050 \)

G.P.E  = 414050 Joules or 414.05 Kilojoules.

Answer:

Explanation:

In physics, vectors are useful because they can visually represent position, displacement, velocity and acceleration. When drawing vectors, you often do not have enough space to draw them to the scale they are representing, so it is important to denote somewhere what scale they are being drawn at.

Answer:

28.6 m/s

Explanation:

Using the equation for the range of a projectile,

R = U²sin2θ/g where U = initial speed of flaming pitch balls, θ = launch angle = 53° and g = acceleration due to gravity = 9.8 m/s²

Making U subject of the formula, we have

U = √(gR/sin2θ)

substituting the values of the variables into the equation given that R = 81.1 m, we have

U = √(9.8 m/s² × 81.1 m/sin2(53°))

U = √(794.78 m²/s²/sin106°)

U = √(794.78 m²/s²/0.9613)

U = √(826.78 m²/s²)

U = 28.75 m/s

U ≅ 28.6 m/s

Answer:

n = 3.1x10¹²

Explanation:

To find the number of electrons we need to find first the charge (q):

\( I = \frac{q}{\Delta t} \rightarrow q = I*\Delta t \)    (1)

Where:

I: is the electric current = 0.59 A

t: is the time

The time t is equal to:

\(v = \frac{\Delta x}{\Delta t} \rightarrow \Delta t = \frac{\Delta x}{v}\)   (2)

Where:

x: is the displacement

v: is the average speed = 2.998x10⁸ m/s

The displacement is equal to the perimeter of the circumference:

\( \Delta x = 2\pi*r = \pi*d \)     (3)

Where d is the diameter = 80.0 m

By entering equations (2) and (3) into (1) we have:

\(q = I*\Delta t = I*\frac{\Delta x}{v} = \frac{I\pi d}{v} = \frac{0.59 A*\pi*80.0 m}{2.99 \cdot 10^{8} m/s} = 4.96 \cdot 10^{-7} C\)      

Now, the number of electrons (n) is given by:

\( n = \frac{q}{e} \)

Where e is the electron's charge = 1.6x10⁻¹⁹ C  

\( n = \frac{q}{e} = \frac{4.96 \cdot 10^{-7} C}{1.6 \cdot 10^{-19} C} = 3.1 \cdot 10^{12} \)

Therefore, the number of electrons in the beam is 3.1x10¹².

I hope it helps you!

Answer:

a. Liquid state

b. At point R. The physical state of water at its boiling point temperature of 100 degree Celsius will be both liquid state as well as gaseous state.

c. at 110 degrees it is in gaseous state

Answer:

An archers bow that is drawn back

Answer:

A)a diver standing on a diving platform.

REQUESTS/REQUIERMENTS:

BRAINLIEST PLEASE

Answer:

20m

Explanation:

Using the equation s=d/t and re arranging it to solve for distance, d=St, where d=distance, s=speed, ant t=time, we can plug in known variables.

d=4*5

d=20m

there is a distance of 20m traveled

The horizontal distance traveled by the rock is 20 m

For horizontal motion, we use the formula below

⇒ Formula

s = vt.................... equation 1

⇒ Where

From the question,

⇒ Given:

⇒ Substitute these values into equation 1

Hence, The horizontal distance traveled by the rock is 20 m

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Answer:a no net force

Explanation: google lol

The velocity of the second ball just after it is struck is 15.15 m/s.

To solve this problem, follow these steps:

1. Calculate the initial velocity of the cue ball using the impulse-momentum theorem:
Impulse = Change in Momentum
Impulse = m * (v_f - v_i)
+2.50 N⋅s = 0.165 kg * (v_f - 0 m/s)

2. Solve for v_f (initial velocity of the cue ball):
v_f = Impulse / m
v_f = 2.50 N⋅s / 0.165 kg
v_f = 15.15 m/s

3. Since the collision is elastic and the masses are equal, the first ball comes to a stop and transfers all its velocity to the second ball. Therefore, the final velocity of the second ball is equal to the initial velocity of the cue ball.

So, the velocity of the second ball just after it is struck is 15.15 m/s.

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Answer:

the temperature measured by the thermometer is 25 ° X

Explanation:

The computation of the temperature measured by the thermometer is shown below:

Here is the thermometric scale list

(X - 0) ÷  C - 0 = (50 - 0) ÷ (100 - 0)  

X ÷ C = 50 ÷100  

X = C ÷ 2  

Now if there is 50 degrees celcius

So, the x would be

= 50 ÷ 2

= 25 ° X

Hence, the temperature measured by the thermometer is 25 ° X

The same is to be considere d

The charge of a particle in a magnetic field can be determined by measuring the force, velocity, and strength of the magnetic field using the Lorentz force equation. There are various methods to measure the charge, such as using a particle accelerator or mass spectrometer.

In a magnetic field, charged particles experience a force that can be used to determine their charge. This force, known as the Lorentz force, is given by the equation F = q(v x B), where F is the force, q is the charge of the particle, v is the velocity of the particle, and B is the strength of the magnetic field.

To determine the charge of a particle in a magnetic field, you can measure the velocity of the particle and the strength of the magnetic field, and then measure the force experienced by the particle. By rearranging the equation F = q(v x B), you can solve for the charge q.

It is important to note that the Lorentz force only applies to charged particles that are in motion. If the particle is stationary, it will not experience any force in a magnetic field.

In practice, there are many ways to measure the charge of a particle in a magnetic field, such as using a particle accelerator or a mass spectrometer. These techniques involve manipulating the motion of the particle in a controlled way and measuring the resulting forces and velocities to determine its charge.

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Complete question:

How can I know the charge of a particle in a magnetic field?

(a) Energy needed to move the satellite to an orbit with a height of 193 km:  8.44 x 10⁹ J

(b) Change in the system's kinetic energy: 1.62 x 10⁹ J(c) Change in the system's potential energy: 6.82 x 10⁹ J.

(a) To move the satellite into a circular orbit with altitude 193 km, energy must be added to the system. The energy required can be calculated using the formula:

ΔE = GMm * [(2/r₁) - (1/r₂)]

Where ΔE is the change in energy, G is the gravitational constant (6.67430 × 10^-11 m^3 kg^-1 s^-2), M is the mass of the Earth (5.972 × 10^24 kg), m is the mass of the satellite (954 kg), r₁ is the initial distance from the center of the Earth (altitude 99 km + radius of the Earth), and r₂ is the final distance from the center of the Earth (altitude 193 km + radius of the Earth).

Plugging in the values:

ΔE = (6.67430 × 10^-11) * (5.972 × 10^24) * (954) * [(2/(99,000 + 6,371,000)) - (1/(193,000 + 6,371,000))]

Calculating this expression will give the change in energy required in joules (J).

(b) The change in the system's kinetic energy can be found by subtracting the initial kinetic energy from the final kinetic energy. The initial kinetic energy can be calculated using the formula:

KE₁ = (1/2) * m * v₁^2

Where KE₁ is the initial kinetic energy, m is the mass of the satellite (954 kg), and v₁ is the initial velocity of the satellite.

The final kinetic energy can be calculated using the formula:

KE₂ = (1/2) * m * v₂^2

Where KE₂ is the final kinetic energy, m is the mass of the satellite (954 kg), and v₂ is the final velocity of the satellite in the circular orbit.

The change in kinetic energy is then given by:

ΔKE = KE₂ - KE₁

Plugging in the values and calculating the expressions will give the change in kinetic energy in joules (J).

(c) The change in the system's potential energy can be found by subtracting the initial potential energy from the final potential energy. The initial potential energy can be calculated using the formula:

PE₁ = -G * M * m / r₁

Where PE₁ is the initial potential energy, G is the gravitational constant (6.67430 × 10^-11 m^3 kg^-1 s^-2), M is the mass of the Earth (5.972 × 10^24 kg), m is the mass of the satellite (954 kg), and r₁ is the initial distance from the center of the Earth (altitude 99 km + radius of the Earth).

The final potential energy can be calculated using the formula:

PE₂ = -G * M * m / r₂

Where PE₂ is the final potential energy, G is the gravitational constant (6.67430 × 10^-11 m^3 kg^-1 s^-2), M is the mass of the Earth (5.972 × 10^24 kg), m is the mass of the satellite (954 kg), and r₂ is the final distance from the center of the Earth (altitude 193 km + radius of the Earth).

The change in potential energy is then given by:

ΔPE = PE₂ - PE₁

Plugging in the values and calculating the expressions will give the change in potential energy in joules (J).

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The S.I value of Newton's gravitational constant G  will be 6.674×10⁻¹¹ (Newton.meter².kg⁻²) .

The gravitational constant, denoted by the capital letter G and also known as the universal gravitational constant, Newtonian constant of gravitation, or Cavendish gravitational constant, is an empirical physical constant that is used to calculate the gravitational effects in both Albert Einstein's theory of general relativity and Sir Isaac Newton's law of universal gravitation.

It is the proportionality constant in Newton's law that links the gravitational force between two bodies to the sum of their respective masses and the square root of their distance. It quantifies the relationship between the energy-momentum tensor and the spacetime geometry in the Einstein field equations (also referred to as the stress–energy tensor).

We can reasonably say that we know the measured value of the constant to four significant digits. SI units is 6.674 ×10⁻¹¹(Newton.meter².kg⁻²) .

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(a) The free body diagram for representing all the forces acting on an object.

(b) The force Mr. Seifert is applying to the box to move it forward to the RIGHT is 105 N.

A free body diagram is a graphical illustration of all the forces acting on an object.

The force applied by Mr Seifert is calculated by applying Newton's second law of motion as follows;

F - Ff = ma

where;

The given parameters include;

mass of the cardboard = 40 kg

force of friction = 25 N

acceleration of the cardboard = 2 m/s²

The force applied by Mr Seifert is calculated as follows;

F = Ff + ma

F = 25 N  +    (40 kg x 2 m/s²)

F = 105 N

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Force applied is directly proportional to displacement.

It is given by the formula

Here F is the force , k is the spring constant , x is the displacement.

Substituting the values,

The wind velocity can be determined by analyzing the boat's motion and the apparent wind direction.

1. The boat is traveling west at a speed of 5 km/hr.
2. The apparent wind direction is from the south.
3. When the boat's speed is doubled, the apparent wind direction is from the southwest.

To find the magnitude and direction of the wind's velocity, we can consider the boat's velocity as well as the apparent wind direction in both scenarios.

Let's denote the magnitude of the wind's velocity as "v" and the direction as "θ."

1. When the boat is traveling at 5 km/hr:
  - The boat's velocity is 5 km/hr to the west.
  - The apparent wind direction is from the south.
  - Therefore, the wind's velocity can be represented as the vector sum of the boat's velocity and the apparent wind direction. This vector sum forms a right angle triangle.
  - Using trigonometry, we can find the magnitude and direction of the wind's velocity in this scenario.

2. When the boat's speed is doubled to 10 km/hr:
  - The boat's velocity is 10 km/hr to the west.
  - The apparent wind direction is from the southwest.
  - Again, the wind's velocity can be represented as the vector sum of the boat's velocity and the apparent wind direction, forming a right angle triangle.
  - By using trigonometry, we can determine the magnitude and direction of the wind's velocity in this case.

By comparing the two scenarios, we can find the change in the wind's velocity magnitude and direction when the boat's speed is doubled. This information will help us determine the actual magnitude and direction of the wind's velocity.

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Answer:

30N in the direction the 45N acts.

Explanation:

Fnet = F1 + F2 (the vector sum of the forces)

Assigning a positive direction to the 45N force and a negative direction to the 15N force gives:

Fnet = 45 - 15

Fnet = 30N

Since the answer is positive, it is in the direction the 45N force acts.

Answer:

A Gap is the space between

Answer: distance, a gap

Explanation:

Answer: D

Explanation: The roller coaster gains and loses kinetic energy throughout the ride.

Answer:

/

Explanation:

The reason the efficiency is always less than 100% is because there is always some sort of friction in the machine.

Answer: because of friction

Answer:

the third class lever makes our work easier as effort is located at the middle, load at first and fore is applied at the buttom. which helps in accelerating work.

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Answer:

To gradually increase blood flow to the body

1.Life science involves fields of discipline catering to living organisms such as we humans while physical science caters to non-living organisms.

2.Life science has more fields of discipline than physical science.

3.Physical science relies on laws and theories to explain concepts while life science relies on biological explanations and can also rely on theories.

Physical science is concerned with the study of natural but non-living objects, while life science is the scientific study of living organisms. There is also a field called biophysics, which is where physics theories and methods are used to study biological systems.